DocumentCode
3452295
Title
Fuzzy systems are universal approximators
Author
Wang, Li-Xin
Author_Institution
Dept. of Electr. Eng-Syst., Univ. of Southern California, Los Angeles, CA, USA
fYear
1992
fDate
8-12 Mar 1992
Firstpage
1163
Lastpage
1170
Abstract
The author proves that fuzzy systems are universal approximators. The Stone-Weierstrass theorem is used to prove that fuzzy systems with product inference, centroid defuzzification, and a Gaussian membership function are capable of approximating any real continuous function on a compact set to arbitrary accuracy. This result can be viewed as an existence theorem of an optimal fuzzy system for a wide variety of problems
Keywords
fuzzy set theory; inference mechanisms; modelling; Gaussian membership function; Stone-Weierstrass theorem; centroid defuzzification; compact set; optimal fuzzy system; product inference; real continuous function; universal approximators; Air traffic control; Automobiles; Control system synthesis; Fuzzy sets; Fuzzy systems; Humans; Image processing; Power system modeling; Signal processing; Turning;
fLanguage
English
Publisher
ieee
Conference_Titel
Fuzzy Systems, 1992., IEEE International Conference on
Conference_Location
San Diego, CA
Print_ISBN
0-7803-0236-2
Type
conf
DOI
10.1109/FUZZY.1992.258721
Filename
258721
Link To Document